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Finding the Fourth Proportional to 1,913.69, 2,870.76 and 1,420.70

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Solution

The fourth proportional to 1,913.69, 2,870.76 and 1,420.70 is: 2,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.69 : 2,870.76 = 1,420.70 : x
  2. Step 2: Convert to fraction form
    1,913.69/2,870.76 = 1,420.70/x
  3. Step 3: Cross multiply
    1,913.69x = 2,870.76 × 1,420.70
  4. Step 4: Simplify right side
    1,913.69x = 4,078,495.91
  5. Step 5: Solve for x
    x = 4,078,495.91/1,913.69
  6. Step 6: Final answer
    x = 2,131.23

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